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Pronunciation varies by accent · noun
(mathematics, category theory, of a morphism f:X→Y in a category with zero morphisms) The coequalizer of f and the zero morphism from X to Y, denoted operatorname cokerf..
Use cokernel when its meaning, tone and grammar fit the full sentence. A synonym is not always a direct replacement.
Cokernel means (mathematics, category theory, of a morphism f:X→Y in a category with zero morphisms) The coequalizer of f and the zero morphism from X to Y, denoted operatorname cokerf..
The closest synonym depends on the sentence and intended sense.
The opposite depends on the specific sense.
Use cokernel where its definition matches the intended context.
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